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13065900 = 2235297449
BaseRepresentation
bin110001110101…
…111010101100
3220120211001020
4301311322230
511321102100
61144014140
7216026001
oct61657254
926524036
1013065900
117414671
124461350
132926203
141a418a8
1512315a0
hexc75eac

13065900 has 72 divisors (see below), whose sum is σ = 38278800. Its totient is φ = 3440640.

The previous prime is 13065883. The next prime is 13065919. The reversal of 13065900 is 956031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28876 + ... + 29324.

It is an arithmetic number, because the mean of its divisors is an integer number (531650).

Almost surely, 213065900 is an apocalyptic number.

13065900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13065900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19139400).

13065900 is an abundant number, since it is smaller than the sum of its proper divisors (25212900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13065900 is a wasteful number, since it uses less digits than its factorization.

13065900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 13065900 is about 3614.6784089321. The cubic root of 13065900 is about 235.5301145671.

The spelling of 13065900 in words is "thirteen million, sixty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 449 485 582 898 970 1164 1347 1455 1796 1940 2245 2425 2694 2910 4490 4850 5388 5820 6735 7275 8980 9700 11225 13470 14550 22450 26940 29100 33675 43553 44900 67350 87106 130659 134700 174212 217765 261318 435530 522636 653295 871060 1088825 1306590 2177650 2613180 3266475 4355300 6532950 13065900